Open AccessOn some operations on soft topological spaces
Author(s) -
Milan Matejdes
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2105693m
Subject(s) - topological space , cartesian product , mathematics , topology (electrical circuits) , soft set , isolated point , set (abstract data type) , product topology , topological vector space , topological dynamics , point (geometry) , connected space , t1 space , product (mathematics) , topological tensor product , pure mathematics , discrete mathematics , computer science , functional analysis , combinatorics , geometry , artificial intelligence , biochemistry , chemistry , gene , programming language , fuzzy logic
The aim of the article is to point out a one-to-one correspondence between soft topological spaces over a universe U with respect to a parameter set E and topological ones on the Cartesian product E x U. From this point of view, all soft topological terms, soft operations, soft functions and properties of soft topological spaces are actually topological concepts. Because the set valued mappings and set valued analysis have great application potential, it is necessary to look for their meaningful use with respect to standard topological methods and set valued analysis procedures.